#321 - Mathematical Operator Puzzle
Using Only Five 5's and any mathematical operator make sum as 37
((5!+5!)-55)/5
=>(120+120-55)/5
=>185/5
=>37
5!/(5+5)+5*5
=>120/10 + 25
=>12 + 25
=>37
Using Only Five 5's and any mathematical operator make sum as 37
((5!+5!)-55)/5
=>(120+120-55)/5
=>185/5
=>37
5!/(5+5)+5*5
=>120/10 + 25
=>12 + 25
=>37
I know there are two methods by using three time the same number with an plus(+) operator , you can make sum as 60.
One of them is 20+20+20.
whats the other way ?
The Other way is 55+5
In 2012 Men's Wimbledon , 80 tennis player from across the world have come to participate.
As we know its a knock-out tournament , each player is eliminated as soon as he looses a match.
The organizer of the tournament decides to count the minimum number of required matches.
Can you help them out ?
Total Number of Matches: 79
Explanation:
40+20+10+5+2+1+1 = 79 (80-1 =79)
Use only one mathamatical symbols and all numbers (0-9) to get sum of 99
9+8+7+65+4+3+2+1+0
A four digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?
The only number is 2592. 2^5 is 32 and 9^2 is 81. 32*81 is 2592.
A clock loses 10 minutes each hour.If the clock is set correctly at noon,what time is it when it reads 3 PM ?
3:36 PM.
The clock loses 10 minutes each hour,
so it loses 5 minutes every half-hour,
and it loses 1 minute very 6 minutes.
It is 12:50 PM at 1:00 o'clock.
It is 1:40 PM at 2:00 o'clock.
It is 2:30 PM at 3:00 o'clock.
It is 2:55 PM at 3:30 o'clock.
It is 3:00 PM at 3:36 o'clock.
This odd little problem in domestic arithmetic was sprung by the cook upon Mrs. Smith when she wanted to know what the grocer charged for such small eggs.
'I paid twelve cents for the lot,' replied Bridget, 'but I made him throw in two extra ones, because they were so little, and you see that made them cost one cent a dozen less than his first asking price!'
Tell now how many eggs she received for her twelve cents?
The grocer offered her sixteen eggs for twelve cents, which would be at the rate of nine cents a dozen.
She made him throw in two eggs extra, so that she got eighteen eggs for the twelve cents, which is at the rate of eight cents a dozen, or one cent a dozen less than the first price asked.
Can you arrange four 9's and use of atmost 2 math symbols , make the total be 100?
99 / .99
A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 3 hours to fill the tank with the large inlet pipe. On the other hand, it takes 6 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three pipes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).
In one hour,
Soln 1:
the large inlet pipe fills 1 / 3 of the tank;
the small inlet pipe fills 1 / 6 of the tank;
the outlet pipe empties 1 / 9 of the tank; and therefore
all three pipes together fill [ (1 / 3) + (1 / 6) − (1 / 9) ] of the tank.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Soln 2:
Let V be the total volume of the tank. From equation (1),
Flow Rate (large inlet pipe) = V / 3
Flow Rate (small inlet pipe) = V / 6
Flow Rate (outlet pipe) = V / 9.
Substituting in equation (2),
Rate of Accumulation in tank = (V / 3) + (V / 6) − (V / 9).
Using the above result in equation (1),
Time required to fill the complete tank = V / [ (V / 3) + (V / 6) − (V / 9) ].
Note that V cancels out on simplifying the above expression.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
There is hypothetical state between india and pakistan border 'paglapur'.
Here 70 percent of the population have defective eyesight, 75 percent are hard of hearing, 80 percent have sinus trouble and 85 percent suffer from allergies, what percentage (at a minimum) suffer from all four ailments?
10%
100 - [ (100-85)+(100-80)+(100-75) +(100-70)]
=100-(15+20+25+30)
=100-90